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Fifth order generator Hamiltonian model under local multi-machine condition of a power station

Zeng, Y.
Zhang, L.
Qian, J.
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2014
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Abstract
Under local multi-machine condition, voltage and current changes of generator d and q axis are important parameters that mirror the coupling characteristics between local generator and others. Fifth order generator Hamiltonian model included electromagnetic transient of the d and q axis is established in this paper, which provides a foundation that reveals inner dynamics mechanism of multi-machine coupling and interaction. Based on electromechanical analysis dynamics theory, each of subsystem Lagrange function, dissipative function and generalized forces can be derived from fundamental energy relationship of the generator, then the Lagrange-Maxwell equations of the generator can be derived. The equations are transformed into the generalized Hamiltonian model by defining the generalized momentum, in which its structure is clear, its energy flow is consistent with actual physical system ones. The Hamiltonian model of generator is improved by the transition to that with practical parameters resulting from local simplified method. The conception of the local multi-machine system of power station is proposed, implicit multi-machine system Hamiltonian model described by measurable parameters on the generator port is derived. Analysis show that proposed model is well in structure.
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Zeng Y, Zhang LX, Qian J et al (2014) th Order Generator Hamiltonian Model Under Local Multi-machine Condition of a Power Station. Electric Machines and Apparatus. 34(3): 415-422.
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